Tyrrell Racing was created in 1958. It used Formula Three cars for Ken Tyrrell and local stars. Tyrrell stopped being a driver in 1959. He did not think that he was good enough as a driver. He began to run a Formula Junior operation. He used the woodshed owned by his family business, Tyrrell Brothers, to do the work on the cars. During the 1960s, Tyrrell moved through the lower levels of formula racing. John Surtees and Jacky Ickx raced for their first times with his team. The team's most famous partnership was with Jackie Stewart. Stewart first signed up in 1963.

With the help of Elf and Ford, Tyrrell moved to Formula One in 1968. He started as a part of Matra International. It was made up of Tyrrell's own team and the Frenchauto maker Matra. Stewart was expected to race very well. He won several Grands Prix in the teams Matra MS10. The car's most unusual feature was the use of aviation-styled structuralfuel tanks. These let the car to be around 15 kg lighter. Although it was lighter, it was still stronger than the cars it was racing against. The FIA thought that the technology was not safe. They chose to not let it be used in 1970. They said that rubberbag-tanks had to be used instead.

For the 1969 championship, the Matra team chose to not compete in Formula One. Instead of competing, Matra worked with Ken Tyrrell's 'Matra International' team. They built a new DFV powered car with structural fuel tanks, even though it would only be able to be used for a single season. Stewart won the 1969 title easily driving the new Cosworth-powered Matra MS80. Stewart's title was the first won by a French chassis. It was the only one won by a chassis built in France.[1] It was a very special event for a team and a constructor that had only entered Formula One the year before.

The Tyrrell P34 six-wheeler - arguably one of the most radical F1 cars ever to have raced.

IN 1970, Matra merged with Simca. For the 1970 season, Tyrrell was asked by Matra to use Simca's V12 in place of the Cosworth. Simca was a subsidiary of the American company Chrysler which was competition for Ford. Stewart tested the Matra V12. He did not think it was as good as the DFV. Ford gave Tyrrell a large part of the money they needed to race. The team also got money for the French petroleum company Elf. Elf had an agreement with Renault that did not allow them to provide money to anyone who was partnered with Simca. Because of this, Ken Tyrrell had to buy a March 701 chassis as temporary solution while making his own car in secret.

The Tyrrell 001, which looked like the MS80, was first seen in 1970. It earned Stewart a pole position in the Canadian GP. The car had problems in all of its 3 race starts. The nearly identical Tyrrell 003 won both Drivers' and Constructors' Championships in 1971. Stewart's had health problems dealing with a stomach ulcer in 1972 and did not race. He was well in 1973 and raced again. He finishing 1st in the Championship. On October 6, 1973, Tyrrell's other driver was killed in practice for the US Grand Prix at Watkins Glen. Stewart, who was to stop racing at the end of the season, and Tyrrell decided they did not want to keep racing. Without their best driver, Tyrrell were never serious World Championship contenders again.

The team did still win some races during the 1970s with Jody Scheckter and Patrick Depailler. Most notable of these was Scheckter's win at the 1976 Swedish Grand Prix. They finished first and second in that race using an unusual Derek Gardner designed Tyrrell P34 car. The P34 was the first (and only) successful six-wheeled F1 car. They replaced front wheels with smaller wheels mounted in banks of two on either side of the car. The design was no longer used after Goodyear refused to make the small tires needed for the car.

In 1977, the Turbo era started in Grand Prix racing. By the mid-1980s, normal (non-turbo) cars could not race as well. Without the enough money, Tyrrell was the last team with the Cosworth DFV. All other teams had changed to turbocharged engines. It was the start of two decades of bad times for Tyrrell. The last win for the classic Cosworth Ford DFV engine was by a Tyrrell car, Michele Alboreto at the 1983 Detroit Grand Prix. It was also Tyrrell's last Grand Prix win.

* In 1968 and 1969 Tyrrell ran the works-supported Matra team, hence were not eligible for Constructors' Championship points themselves. Totals in brackets are those scored by Tyrrell drivers that counted toward the Matra-Ford total.** During 1970, in addition to their own 001 car, Tyrrell ran March-built cars for which Tyrrell were not eligible for Constructors' Championship points. Points in brackets are those scored by Tyrrell drivers that counted toward March's total of 48.***Winners of the Colin Chapman Trophy, with 169 points.

Although World Championship races held in 1952 and 1953 were run to Formula Two regulations, constructors who only participated during this period are included herein to maintain Championship continuity. Constructors whose only participation in the World Championship was in the Indianapolis 500 races between 1950 and 1960 are not listed.